This project concerns the application of differential and integral geometry (branches of pure mathematics) to statistics. Its aims are (i) to provide further insight into the basis of recent developments in statistical theory by increasing our theoretical understanding of both the fundamental structure of some large classes of statistical models and the basic mathematical machinery underlying much statistical inference; (ii) to develop further and to enlarge (by removing various assumptions) the range of applicability of novel statistical methods based on this theory, and (iii) to use the new tool of computer algebra to construct a package which will automate the application of these developments and give the general scientist a practical tool for the reliable analysis of small samples of data, without having to make unrealistic assumptions.
Funding SchemeCSC - Cost-sharing contracts
KY16 9AH St Andrews
CV4 7AL Coventry